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Toeplitz determinants

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Analysis of Toeplitz Operators

Part of the book series: Springer Monographs in Mathematics ((SMM))

Abstract

For a function a \(a \in L_{N \times N}^\infty \) consider the determinants D n (a) of the finite Toeplitz matrices T n (a) (which are (n + 1) N × (n + 1) N matrices),

$${D_n}\left( a \right) = \det {T_n}\left( a \right) = \det \left( {{a_{j - k}}} \right)_{j,k = 0}^n\left( {n = 0,1,2, \ldots } \right).$$

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Notes and comments

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Author information

Authors and Affiliations

  1. Sektion Mathematik, Wissenschaftsbereich Analysis, Technische Universität Chemnitz, PSF 964, DDR-9010, Chemnitz, Germany

    Dr. rer. nat. Albrecht Böttcher & Prof. Dr. sc. nat. Bernd Silbermann

Authors
  1. Dr. rer. nat. Albrecht Böttcher
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  2. Prof. Dr. sc. nat. Bernd Silbermann
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© 1990 Springer-Verlag Berlin Heidelberg

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Böttcher, A., Silbermann, B. (1990). Toeplitz determinants. In: Analysis of Toeplitz Operators. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02652-6_10

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  • DOI: https://doi.org/10.1007/978-3-662-02652-6_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-02654-0

  • Online ISBN: 978-3-662-02652-6

  • eBook Packages: Springer Book Archive

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